Production of light (anti)nuclei, (anti)hypertriton, and di-Λin central Au+Au collisions at energies available at the BNL Relativistic Heavy Ion Collider

Abstract

A simple coalescence model is employed to investigate the production of light (anti)nuclei and (anti)hypertriton as well as di-$\ensuremath{\Lambda}$ in the most central Au+Au collisions. The invariant yields of ${}^{3}$He(${}^{3}\overline{\mathrm{He}}$), ${}_{\ensuremath{\Lambda}}^{\phantom{\rule{0.28em}{0ex}}3}H$(${}_{\overline{\ensuremath{\Lambda}}}^{\phantom{\rule{0.28em}{0ex}}3}\overline{\mathrm{H}}$), and ${}^{4}$He(${}^{4}\overline{\mathrm{He}}$) obtained within current framework are found to be consistent with the measurements of the solenoidal tracker at the BNL Relativistic Heavy Ion Collider (STAR) detector. We also investigate the coalescence parameters ${B}_{A}$ ($A=2,3,4$) as a function of transverse momentum for $d$($\overline{d}$), ${}^{3}$He(${}^{3}\overline{\mathrm{He}}$), ${}_{\ensuremath{\Lambda}}^{\phantom{\rule{0.28em}{0ex}}3}H$(${}_{\overline{\ensuremath{\Lambda}}}^{\phantom{\rule{0.28em}{0ex}}3}\overline{\mathrm{H}}$), and ${}^{4}$He(${}^{4}\overline{\mathrm{He}}$), respectively. ${B}_{2}$ for $d$($\overline{d}$) and ${B}_{3}$ for ${}^{3}$He(${}^{3}\overline{\mathrm{He}}$) are comparable with the STAR measurement within statistical uncertainties. The ${p}_{T}$ integrated yields for di-$\ensuremath{\Lambda}$ $d{N}_{\ensuremath{\Lambda}\ensuremath{\Lambda}}/dy\ensuremath{\sim}2.23\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$, and is not strongly dependent on the parameter employed for the coalescence process. Combining the data points extracted by the PHENIX Collaboration, the coalescence parameters exhibit a strong centrality dependence. An exponential behavior is shown for the differential invariant yields versus baryon number distribution. The production rate reduces by a factor of 1692 (1285) for each additional antinucleon (nucleon) added to antinuclei (nuclei), and the production rate of ${}^{6}\overline{\mathrm{Li}}$ is about ${10}^{\ensuremath{-}16}$ which is consistent with results extracted by the STAR experiment. The relative abundance of light anti(nuclei) and (anti)hypertriton are explored with particle ratios, and agree with experimental data as well as thermal model predictions.